Results 21 to 30 of about 72,032 (249)
The Primary Decomposition of the Factor Group [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of factor group K (The factor group of all z-valued class functions module the group of Z-valued generalized characters for elementary abelian group G),where G is a finite abelian group ...
Manal Naji Al-Harere
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The Primary Decomposition of the Factor Group K(G) [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of the factor group K (The factor group of all Z-valued class functions module the group of Z-valued generalized characters for elementary Abelian group G), where G is a finite Abelian ...
Manal N.AL-Harere, Fuad A.AL-Heety
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مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper , we define a certain subgroup ,denoted by ,as follows : of a finite group , and we give some properties of . Main result for is given in theorem 3.5 , which state that is an elementary abelian group if and only ...
YASSIN. A.W.AL-HITI
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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Determine the value d(M(G)) for non-abelian p-groups of order q = pnk of Nilpotency c
Ratio Mathematica, 2020 In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a non abelian p-group of order pnk with derived subgroup of order pkt and nilpotency class c, then the minimal number of generators of G is at most p1 2 (
Behnam Razzaghmaneshi
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Brou\'e's abelian defect group conjecture holds for the Harada-Norton sporadic simple group $HN$ [PDF]
, 2009 In representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime $p$, if a $p$-block $A$ of a finite group $G$ has an abelian defect group $P$, then $A$ and its Brauer ...
Koshitani, Shigeo, Müller, Jürgen
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How SU(2)$_4$ Anyons are Z$_3$ Parafermions
SciPost Physics, 2017 We consider the braid group representation which describes the non-abelian braiding statistics of the spin $1/2$ particle world lines of an SU(2)$_4$ Chern-Simons theory.
Richard Fern, Johannes Kombe, Steven H. Simon
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$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Alperin +22 more
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Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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